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Finding the Third Proportional to 145,660 and 196,798

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Solution

The third proportional to 145,660 and 196,798 is: 265,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,660 : 196,798 = 196,798 : x
  2. Step 2: Convert to fraction form
    145,660/196,798 = 196,798/x
  3. Step 3: Cross multiply
    145,660x = 196,798 × 196,798
  4. Step 4: Simplify right side
    145,660x = 38,729,452,804
  5. Step 5: Solve for x
    x = 38,729,452,804/145,660
  6. Step 6: Final answer
    x = 265,889.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.